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The integrating factor of the differenti...

The integrating factor of the differential equation
`(1-y^(2))(dx)/(dy) + yx =ay, (-1 lt y lt 1)` is:

A

`1/(y^(2)-1)`

B

`1/sqrt(y^(2)-1)`

C

`1/(1-y^(2))`

D

`1/sqrt(1-y^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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OMEGA PUBLICATION-DIFFERENTIAL EQUATIONS-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. Which of the following is a homogeneous differential equation?

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  2. The integrating factor of the differential equation x(dy)/(dx) - y =...

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  3. The integrating factor of the differential equation (1-y^(2))(dx)/(d...

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  4. The general solution of the differential equation (y dx - x dy)/y = 0 ...

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  5. The general solution of the differential equation of the type: (dx)/...

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  6. The general solution of the differential equation e^(x)dy + (ye^(x) + ...

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  7. The integrating factor of x(dy)/(dx) + 2y = x^(2) is:

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  8. Solve the following differential equations (dy)/( dx) - y = cos x

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  9. The degree of differential equation: (d^(2)y)/(dx^(2)) = y +((dy)/(d...

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  10. The degree of the differential equation 3(d^(2)y)/(dx^(2)) + 4((dy)/...

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  11. The degree of the differential equation (d^(2)y)/(dx^(2))+3((dy)/(dx...

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  12. The degree of differential equation: (d^(2)y)/(dx^(2)) + cos ((dy)/(...

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  13. The degree of differential equation: xy(d^(2)y)/(dx^(2)) + x((dy)/(d...

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  14. The degree of the differential equation ((d^(2)y)/(dx^(2)))^(3) + ((...

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  15. The degree of differential equation: (d^(4)y)/(dx^(4)) + sin (y''')=...

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  16. The number of arbitrary constants in the general solution of a differe...

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  17. The order of the differential equation: 2x^(2) (d^(2)y)/(dx^(2)) - 3...

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  18. The order of the differential equation: (y''')^(2) + (y'') + (y')^(4...

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  19. The number of arbitrary constants in the particular solution of a diff...

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  20. Which of the following differential equations hasy=c(1)e^(x) + c(2)e^(...

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